Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Answer:

95%

Step-by-step explanation:

19/20=0.95

0.95x100=95%

Step-by-step explanation:

I don't see the equations.

but I can build some myself :

x = number of hamburger packages

y = number of hotdogs packages

x + y = 9

9x + 2y = 25

the first equation tells us after moving y to the right side

x = -y + 9

and that we are using now in the second equation :

9(-y + 9) + 2y = 25

-9y + 81 + 2y = 25

-7y = -56

y = 8

x = -y + 9 = -8 + 9 = 1

Answer: Well all you have to do Is find the Rise over run.

Step-by-step explanation:

Then you will have your answer :)

Answer:

Step-by-step explanation:

12

Answer:

A

Step-by-step explanation:

when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

Answer:

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.

graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64

1

2

3

6

Step-by-step explanation:

Answer:

c

Step-by-step explanation

First you have to find the radius.

3.5 divide by 2 = 1.75

v= 4/3 pi r ^3

v = 4/3 (3.14) (1.75)^3

v= 4/3 (3.14) (5.36)

v= 4/3 (16.83)

v= 4/3 (16.83) = (4/3) (16.83/1)

v= (4/3) (16.83/1) = 67.32/3 = 22.44

Answer:

the volume would be 9

Step-by-step explanation:

Answer:

5.760 or 4 cube root 3

Step-by-step explanation:

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

find (fog) (x)

it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x

so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

1 + 15 = 10x (this is the same as 10x = 1 + 15)

x = 16/10 (you can leave it as a fraction)

fog(x) = 16/10

find gof (x)

we'll do the same thing again

2(1-5x) + 3

2 -10x + 3 = 0

2 + 3 = 10x

10x = 5

x = 5/10 (reduce)

x = 1/2

gof (x) = 1/2

Answer:

f =18

Step-by-step explanation:

The sum of the angles of a triangles is 180

3f+6f+f = 180

10f = 180

Divide by 10

10f/10=180/10

f = 18

Answer:

48=2^4x3

Step-by-step explanation:

48=2x2x2x2x3

48=2^4x3

Hope this helps :)

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

Answer:one way is to simply use slope intercept form or point slope form

point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)

slope intercept: y=mx+b where m=slope and b=yintercept

slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)

we are given

(3.5,8.2) and (2,7.3)

slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6

slope=0.6 or 6/10

point slope

use any point

y-y1=m(x-x1)

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides

take first one

y-7.3=0.6(x-2)

y-7.3=0.6x-1.2

add 7.3 both sides

y=0.6x+6.1

equation is

POINT SLOPE FORM:

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

SLOPE INTERCEPT FORM:

y=0.6x-6.1

Step-by-step explanation:

Answer:

Eight is a coefficient in the equation 7x+8y

Answer:

[tex]\displaystyle w = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

These triangles are congruent by the AAS Congruence Theorem.

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

Learn more about Congruence Theorem, click;

https://brainly.com/question/19258025

#SPJ7

The figure is not given, so the question has been solved for the attached one.

Answer:

Check attached

Step-by-step explanation:

[] The first one you add

    () -8 + 9 = 1

    () -2/5 + 1/5 = -1/5

    () 1/1 = 5/5, 5/5 - 1/5 = 4/5

[] The second one you subtract, the + and - become a -

    () 9 - 5 = 4

    () 2/5 - 3/5 = -1/5

    () 4 - 1/5 = 3 4/5

    () 3 * 5 = 15, 15 + 4 = 19/5

[] The third one you add

    () 2 + 2 = 4

    () 1/5 + 2/5 = 3/5

    () 4* 5 = 20, 20 + 3 = 23/5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

First one is for number 2 and vice versa.

a =  2t+32=c

b= 2*10=20+32=52oz of coffee

I think this is right

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

Answer:

(C) 27

IS THE ANSWER....

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

Answer:

Adam spent in total 288

Answer:

1. GCF is 15.

2. 8 servings

Step-by-step explanation:

1. Continuous Division              

            3     15         30

            5      5          10

                     1           2

Multiply the factors in the left side (3 and 5)

= 15

Greatest Common Factor is 15

2. Continuous Division

              2      16         24

              2      8           12

              2      4            6

                      2            3

Multiply the factors in the left side (2,2 and 2)

= 8

Greatest number of servings is 8

Answer:

14 dollars off the original price

Step-by-step explanation:

Answer:

165 feet below sea level.

Step-by-step explanation:

205 - 80 = 125

125 + 40 = 165